Combinatorics and Boson normal ordering: A gentle introduction

Details Combinatorics and Boson normal ordering: A gentle introduction Combinatorics and Boson normal ordering: A gentle introduction

2007-04-24

arxiv.org/abs/0704.3116v1

Am. J. Phys. 75, 639-646 (2007)

Physics

Quantum Physics

8 pages, 1 figure

Scientific paper

10.1119/1.2723799

We discuss a general combinatorial framework for operator ordering problems by applying it to the normal ordering of the powers and exponential of the boson number operator. The solution of the problem is given in terms of Bell and Stirling numbers enumerating partitions of a set. This framework reveals several inherent relations between ordering problems and combinatorial objects, and displays the analytical background to Wick's theorem. The methodology can be straightforwardly generalized from the simple example given herein to a wide class of operators.

Affiliated with

Also associated with

No associations

Rating

Combinatorics and Boson normal ordering: A gentle introduction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Combinatorics and Boson normal ordering: A gentle introduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Combinatorics and Boson normal ordering: A gentle introduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-225149